Explore topic-wise InterviewSolutions in Current Affairs.

An isolated particle of mass M is moving in a horizontal plane (xy), along the x-axis at a certain height above the ground. It suddenly explodes into two fragments of mass m/4 & 3m/4. And instant later the smaller fragment is at Y=15cm.The larger fragment at this instance is at :

In a standing wave pattern in a vibrating air column, nodes are formed at a distance of 4.0 cm. If the speed of sound in air is $328m{s}^{-1}$, what is the frequency of the source ?

A sample of air weighing 1.18 g occupies $1.0\times {10}^{3}c{m}^3$ When kept at 300 K and $1.0\times {10}^3$ Pa. When 2.0 cal of heat is added to it at constant volume, its temperature increases by $1^{0}C$. Calculate the amount of heat needed to increase the rtemperature of air by $1^{0}C$ at constant pressure if the mechanical equivalent of heat is $4.2\times {10}^{-7}ergca{l}^{-1}.$ Assume that air hehaves as an ideal gas.

A simple pendulum of length `l` is making oscillations with its bob immersed in a liquid of density $\eta$ times less than the density of the bob. What is it's time period of oscillation?

A spring of spring constant $5\times {10}^3\text{N/m}$ is stretched initially by $5cm$ from the unstretched position. The work required to further stretch the spring by another $5cm$ is

A metal sphere of radius r and specific heat c is rotated about an axis passing through its centre at a speed of n rotations per second. It is suddenly stopped and 50% of its energy is used in increasing its temperature. Then the rise in temperature of the sphere is

Figure shows a suare loop of side 5 cm being moved towards right at a constant speed of 1 cm.s. The front edge enters the 20 cm wide magnetic field at t= 0. Find the emf induced in the top at

(a) t = 2 s,

(b) t = 10 s,

(c) t = 22 s. and

(d) t = 30 s.

Which of the following does not exist?

Check that the ratio $k{e}^2/G{m}_e{m}_p$ is dimensionless. Look up a table of physical constants and determine the value of this ratio. What does the ratio signify?

An ideal gas $(C_p/C_v=\gamma )$ is taken through a process in which the pressure and the volume vary as $p=a{V}^b$. Find the value of b for which the specific heat capacity in the process is zero.

On passing 0.1 Faraday of electricity through aluminium chloride, the

amount of aluminium metal deposited on cathode is

[MP PMT 1991]

A stone of mass 1 kg tied to a light inextensible string of length $L=\frac{10}{3}m$ is whirling in a circular path of radius $L$ in a vertical plane. If the ratio of the maximum tension in the string to the minimum tension in the string is 4 and if g is taken to be $10m/se{c}^2$ , the speed of the stone at the highest point of the circle is

The van der Waals parameters for gases $W,X,Y$ and $Z$ are:
$\begin{array}{ccc}Gas& a\left(atm{L}^{2}mo{l}^{-2}\right)& b\left(LMo{l}^{-1}\right)\\ W& 4.0& 0.027\\ X& 8.0& 0.030\\ Y& 6.0& 0.032\\ Z& 12.0& 0.027\end{array}$
Which one of these gases has the lowest critical temperature?

The angle made by the string of a simple pendulum with the vertical depends on time as $\theta =\frac{\pi }{90}sin\left[\right(\pi s^{-1\left)t\right].}$ Find the length of the pendulum if $g={\pi }^{2}m{s}^{-2}.$

The phase difference between two SHM

$y_1=10sin(10\pi t+\frac{\pi }{3})and{y}_2=12sin(8\pi t+\frac{\pi }{4})att=0.5sis:$

Derive the equation for Newton's second law

A wire of length $16\text{m}$ and mass $8\text{kg}$ is bent in the form of a rectangle $\text{ABCD}$ with $\frac{\text{AB}}{\text{BC}}=2$. The moment of inertia of this wire frame about side $\text{BC}$ is

The elevator shown in figure is descending with an acceleration of $2{\text{m/s}}^2$. The mass of the block $A=0.5\text{kg}$. The magnitude of force exerted by the block $A$ on block $B$ is

Least count/hop count of main scale of a vernier callipers is defined as:

Let's say the charge of an electron is -1e. Then if I charge up my cat, which of these can be a possible value of charge it aquires?

A mass of 10 gm moving with a velocity of 100 cm/s strikes a pendulum bob of mass 10 gm. The two masses stick together. The maximum height reached by the system now is $(g=10m/s^2)$

Two masses of 1g and 9g are moving with equal kinetic energies. The ratio of the magnitudes of their respective linear momenta is

Two spheres each of mass $M$ and radius $\frac{R}{2}$ are connected with a massless rod of length $R$ as shown in the figure. The moment of inertia of the system about an axis $\left(Y{Y}^{\prime }\right)$ passing through the centre of one of the spheres and perpendicular to the rod is

Two capacitor $C_{1}and{C}_2$ are connected across a 60 V battery as shown in figure 1. In this situation, the final charges appearing on $C_{1}and{C}_2$ are 120mC and 180mC respectively. In another arrangement, the same capacitors $C_{1}and{C}_2$ are completely discharged and then connected with the same batteries along with a switch ‘S’ as shown in figure 2.

Consider the charges which will flow after shorting the switch ‘S’ in figure 2 through sections 1, 2 and 3 in the directions indicated by arrows as $q_1,q_2,and{q}_3$ respectively. Then,

In the given circuit diagram, the key $K$ is switched on at $t=0$. The ratio of the current $i$ through the cell at $t=0$ and at $t=\infty$ will be

A cylinder of mass m and radius r rolls down a circular track from point A as shown in the figure. Assume that the friction is just sufficient to support the rolling. Velocity of the cylinder at point A was zero. Assume r ≪ R. The reaction by the track on the cylinder at point B is

The ratio of acceleration due to gravity at a height 3R above earth's surface to the acceleration due to the gravity on the surface of the earth is:

A particle undergoes three successive displacements given by $S_1=\sqrt{2}m$ north-east, $S_2=2m$ due south and $S_3=4m$, ${30}^{\circ }$ north of west, then magnitude of net displacement is

A trolley carries a body of weight $25kg$. which is kept at a distance of $2.5m$ from the rear end of the trolley. The trolley starts from rest and accelerates at a constant rate of $2m{s}^{-2}$ If the coefficient of friction between the trolley and the body is $0.1$, find the distance of the trolley from the starting point where the body will just slip out of the trolley. $\text{Take}g=10m{s}^{-2}$

If mass of $A=10kg$, coefficient of static friction ${\mu }_s=0.2$, coefficient of kinetic friction ${\mu }_k=0.2$ and the mass of $B\text{is}20kg$. Then find the acceleration of the masses.

Consider a conducting wire of length $L$ bent in the form of a circle of radius $R$ and another conductor of length '$a$' ($a<<R$) bent in the form of a square. The two loops are then placed in the same plane such that the square loop is exactly at the centre of the circular loop. What will be the mutual inductance between the two loops?

Radiation coming from transitions $n=2$ to $n=1$ of hydrogen atoms fall on $H{e}^{+}$ ions in $n=1$ and $n=2$ states. The possible transition of helium ions as they absorb energy from the radiation is

A small particle of mass $m$ is released from height $R\sqrt{3}$ and the ring is fixed. Find the speed of particle when it crosses the center.

If an electron in a hydrogen atom jumps from the 3rd orbit to the 2nd orbit, it emits a photon of wavelength $\lambda$. When it jumps from the 4th orbit to the 3rd orbit, the corresponding wavelength of the photon will be

A metal ball of mass m is put at the point A of a loop track and the vertical distance of A from the lower most point of track is 8 times the radius R of the circular part. The linear velocity of ball when it rolls of the point B to a height R in the circular track will be

The charge on the capacitor during steady state is

If body having initial velocity zero is moving with uniform acceleration of $8{\text{m/sec}}^2$, the distance travelled by it in fifth second will be

The polarizing angle of glass is ${57}^{\circ }$. A ray of light which is incident at this angle will have an angle of refraction as

Three forces acting on a body are shown in the figure. To have the resultant force only along the y-direction, the magnitude of the minimum additional force needed is

A capacitor of capacitance $C$ has a reactance $X$. If capacitance and frequency are tripled in value, then reactance will be

The sum and difference of the self-inductance of two coils are $13H$ and $5H$ respectively. The maximum mutual inductance between the two coils is,

A car starting from rest, accelerates at a constant rate $\alpha$ for some time after which it decelerates at a constant rate $\beta$ to come to rest. If the total time of travel is $t$, find the total distance travelled by it assuming it to travel in a straight line.

A ball initially at rest falls from a height $h=2.5\text{m}$. After collision with surface having value of coefficient of restitution $e=0.6$, it rebounds back. Find the rebound velocity of ball.

Ratio of volumetric stress & volumetric strain is given by
[Take $\left(\Delta P\right)$ to be change in pressure, $V$ as initial volume, $\Delta V$ as change in volume].

A point traversed half of the distance with a velocity $v_0$. The remaining part of the distance was covered with velocity $v_1$ for half the time and with velocity $v_2$ for the other half of the time. The mean velocity of the point averaged over the whole time of motion

Find the value of acceleration of block $B$ (in ${\text{m/s}}^2$) for the system shown in figure. Take $g=10{\text{m/s}}^2$.